### 基于四杆机构单元的柔性铰链设计与尺寸优化

1. 太原理工大学 机械工程学院, 太原 030024
• 收稿日期:2017-03-27 修回日期:2017-07-20 出版日期:2017-11-15 发布日期:2017-07-20
• 通讯作者: 张静 E-mail:free1985216@163.com
• 基金资助:

国家自然科学基金（51505319）；太原理工大学校基金（2014TD040）；太原理工大学人才引进基金（tyut-rc201448a）

### Design and size optimization of flexible hinge based on unit of four-link linkage

ZHANG Jing, KOU Ziming

1. College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan 030024, China
• Received:2017-03-27 Revised:2017-07-20 Online:2017-11-15 Published:2017-07-20
• Supported by:

National Natural Science Foundation of China (51505319); Special/Youth Foundation of Taiyuan University of Technology (2014TD040); Qualified Personnel Foundation of Taiyuan University of Technology (tyut-rc201448a)

Abstract:

Small rotation angle and big center-shift are the main problems of flexure hinges. To solve these problems, the flexible hinge with big angle and high precision is designed. Using the characteristics of angle amplification of the crank rocker mechanism of the four-link linkage, the articulated points of the linkage are fixed. The fixed four-bar linkage is taken as the deformation module. By using the small deformation of the rocker in the four-link linkage, motion of large rotational angle of the flexible hinge is realized. The fixed four-bar linkage in the flexible hinge is a statically indeterminate structure. Based on the theory of statically indeterminate structure, deformation and stress analysis of the flexible unit is conducted. The stiffness model for the flexure hinge is given. The objective function is derived based on the stiffness model, and the design variables and constraints are defined. The size of the flexure hinge is optimized by using the genetic algorithm. Analysis of the deformation and stress of a specific size of the flexible hinge using ANSYS software validates correctness of the optimization results.